Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/175373
Title: 

Tests on asymmetry for ordered categorical variables

The document was removed on behalf of the author(s)/ the editor(s).

Year of Publication: 
2018
Series/Report no.: 
FAU Discussion Papers in Economics No. 03/2018
Publisher: 
Friedrich-Alexander-Universität Erlangen-Nürnberg, Institute for Economics, Nürnberg
Abstract: 
Skewness is a well-established statistical concept for continuous and to a lesser extent for discrete quantitative statistical variables. However, for ordered categorical variables almost no literature concerning skewness exists, although this type of variables is common for behavioral, educational, and social sciences. Suitable measures of skewness for ordered categorical variables have to be invariant with respect to the group of strictly increasing, continuous transformations. Therefore, they have to depend on the corresponding maximal-invariants. Based on these maximal-invariants we propose a new class of skewness functionals, show that members of this class preserve a suitable ordering of skewness and derive the asymptotic distribution of the corresponding skewness statistic. Finally, we show the good power behavior of the corresponding skewness tests and illustrated these tests by applying real data examples.
Subjects: 
Ordered Categorical Variables
Skewness Analysis
Skewness Ordering
Maximalinvariants
Document Type: 
Working Paper

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The document was removed on behalf of the author(s)/ the editor(s) on: November 9, 2018


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